What is the Least Common Multiple of 67210 and 67224?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 67210 and 67224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67210 and 67224, than apply into the LCM equation.

GCF(67210,67224) = 2
LCM(67210,67224) = ( 67210 × 67224) / 2
LCM(67210,67224) = 4518125040 / 2
LCM(67210,67224) = 2259062520

Least Common Multiple (LCM) of 67210 and 67224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67210 and 67224. First we will calculate the prime factors of 67210 and 67224.

Prime Factorization of 67210

Prime Factorization of 67224

Now multiplying the highest exponent prime factors to calculate the LCM of 67210 and 67224.

LCM(67210,67224) = 2³ × 5¹ × 11¹ × 13¹ × 47¹ × 3¹ × 2801¹
LCM(67210,67224) = 2259062520